本文提出了一个完全满足对称正交层合板弯曲基本方程的挠度级数表达式,并导出了相应的位移、变形及内力的显表达式。边界条件则用离散型最小二乘法近似满足。由于所用级数较简单且具备完备性,因而推导与计算都较简单,对于各种边界条件下的单连通板,它都能逼近其精确解。文中的例子表明,本方法往往用较少的待定系数及配点,就可获得相当好的结果。 In this paper, an expression of deflection series that fully satisfies the basic bending equation of symmetric orthogonal laminates is proposed, and the explicit expressions of displacement, deformation and internal force are deduced. The boundary conditions are approximated by the discrete least square method. Due to the simpler and more complete series used, the derivation and calculation are simpler, and it approximates its exact solution for a single connected plate in various boundary conditions. The examples in this paper show that this method tends to achieve quite good results with fewer to-be-determined coefficients and matching points.